Speed, distance & time (M6)



Speed, distance & time (M6)

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Calculating speed

Example

Find the average speed of an athlete who runs 100m in 20s.

Average speed = Distance

Time

Average speed = 100 m = 5 m/s

20 s

Practice

1) Find the average speed of a train which covers 130 miles in 2 hours.

2) Find the average speed of a runner who runs 12 km in 3 hours.

3) A car travels 160 miles in 4 hours. What is its average speed in mph?

4) Find the average speed of a runner who covers 200 metres in 45 seconds.

Harder Example

Find the average speed in km/h of a delivery driver who travelled 45 km in 30 minutes.

Average speed = Distance

Time

We want the answer to be in km/h so we need the time to be in hours. 30 minutes is 30/60 which is 0.5 of an hour

Average speed = 45 km = 90 km/h

0.5 h

Practice

1. A motorbike travels 20 miles in 30 minutes. Calculate its average speed in miles per hour.

2. A car travels 10 miles in 15 minutes. What is its average speed in km/h?

3. A tractor travels 5 miles in 40 minutes. Calculate its average speed in mph.

4. A car travels 120km in 96 minutes. What is the average speed in km/h?

5. A motorist leaves Derby at 10:55 and arrives in Leicester 1 ¼ hours later. The distance from Leicester to Derby is 50 miles.

a) At what time did he arrive in Leicester?

b) What was his average speed in mph?

Mass, Density & Volume

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Example

Calculate the density of a metal of mass 450gm and volume 40cm3

Density = Mass ÷ Volume

Density = 450gm ÷ 40 cm3

Density = 11.25 g/ cm3

Practice

1) Calculate the density of a block of wood of mass 750 g and volume 80 cm3

2) Calculate the density of a block of plastic of mass 400g and volume 100 cm3

3) Another block of plastic with volume 25 cm3 has a density of 0.6 g/cm3. What is its mass?

4) A rubber ball has volume 35 cm3 has a density of 0.8 g/cm3. What is its mass?

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